[codex] Consolidate shared prompts in codex-prompts (#25151)

## Why

`codex_core` is consistently a bottleneck for incremental builds during
iteration. The simplest fix is to make the crate smaller.

## Summary

`codex-core` owns several reusable prompt renderers and static prompt
assets, which makes the crate harder to split apart.

Rename `codex-review-prompts` to `codex-prompts` and move shared review,
goal, permissions, compaction, realtime, hierarchical AGENTS.md, and
`apply_patch` prompts into it. Move prompt-only tests and update
consumers and `CODEOWNERS`.

## Validation

- `just test -p codex-prompts -p codex-apply-patch`
- `just test -p codex-core prompt_caching`
- Bazel builds for the affected crates

codex-rs/Cargo.lock

@@ -2550,6 +2550,7 @@ dependencies = [
  "codex-network-proxy",
  "codex-otel",
  "codex-plugin",
+ "codex-prompts",
  "codex-protocol",
  "codex-response-debug-context",
  "codex-rmcp-client",
@@ -2574,7 +2575,6 @@ dependencies = [
  "codex-utils-pty",
  "codex-utils-stream-parser",
  "codex-utils-string",
- "codex-utils-template",
  "codex-windows-sandbox",
  "core_test_support",
  "csv",
@@ -3453,6 +3453,19 @@ dependencies = [
  "pretty_assertions",
 ]
 
+[[package]]
+name = "codex-prompts"
+version = "0.0.0"
+dependencies = [
+ "anyhow",
+ "codex-execpolicy",
+ "codex-git-utils",
+ "codex-protocol",
+ "codex-utils-absolute-path",
+ "codex-utils-template",
+ "pretty_assertions",
+]
+
 [[package]]
 name = "codex-protocol"
 version = "0.0.0"